I had a T who did similar things -- didn't schedule me appointments but made me reach out to ask to get on the calendar, who wanted to focus on my marriage rather than on the issues that I wanted to talk about.

From everything I have read about how therapists are trained, they are supposed to get a relationship going first. Trust first, disclosure later. That's the order of things.

I hope you find a T who helps you open up. The burden is not on you to do that in the beginning, the burden is on the T to reach you and demonstrate safety. This T doesn't seem to be modeling a safe relationship, so how could you ever open up?

I don't think this T attunes to you very well.